GCF of 674/113, 739/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 674/113, 739/990 i.e 1/111870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/113, 739/990.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 674/113,739/990?
Given fractions are 674/113,739/990
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 674/113,739/990, numerators are 674,739
Denominators are 113,990
The GCF of 674,739 is 1 .
LCM of 113,990 is 111870.
The greatest common factor of 674/113,739/990 = [GCF of 674,739]/[LCM of 113,990]= 1/111870
Therefore, the GCF of 674/113,739/990 is 1/111870.
To find the highest common factor of 674,739, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 739 are 1, 739
The HCF of 674,739 is 1.
Lets's calculate GCF of 674,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 674,739 By Matching Biggest Common Factor Method
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 739
:1,739
Greatest Common Factor
We found the factors 674,739 . The biggest common factor number is the GCF number.
So the greatest common factor 674,739 is 1.
Lets's calculate LCM of 113,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 111870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111870
Therefore, the GCF of Fractions 674/113,739/990 is 1/111870
Least Common Multiple of 113,990 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 113,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,990) x common factors =1 x 1 = 1
LCM(113,990) = ( 113 × 990 ) / 1
LCM(113,990) = 111870 / 1
LCM(113,990) = 111870
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 674/113, 739/990
1. What is the HCF of 674,739?
The HCF of 674,739 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 674/113, 739/990?
Answer: GCF of Numerators as per given numbers 674/113, 739/990 is
GCF of Numerators i.e. for 674,739 is 1
LCM of denominators i.e. for 113,990 is 111870.
Thus, GCF of Fractions is 1/111870.Finally, GCF of Fractions for 674/113, 739/990 is 1/111870.